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Teaching Students with Learning Problems in Math to Acquire, Understand, and Apply Basic Math Facts
Abstract
Students with learning problems (i.e., students with learning disabilities or emotional disabilities and those considered at-risk for school failure) are not making acceptable math progress in the nation's schools. Fortunately, instructional practices exist that help these students achieve in math. Ten instructional components that have research support for promoting math achievement are presented. A math curriculum, the Strategic Math Series, which incorporates the research-based teaching practices, is described. Next, the results from field-testing the Strategic Math Series with 22 teachers are presented. The field-test results indicate that 109 students with learning problems were able to (a) acquire computational skills across facts, (b) solve word problems with and without extraneous information, (c) create word problems involving facts, (d) apply a mnemonic strategy to difficult problems, (e) increase their rate of computation, and (f) generalize math skills across examiners, settings, and tasks. Finally, issues in math instruction are discussed, and the need to include best practices within instructional materials is highlighted.
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“For mathematical problem solving, that is, children must not only possess the basic mathematical skills but also know how and when to apply their knowledge in new and sometimes unfamiliar situations.”
From Mathematics Interventions for Children with Special Educational Needs: A Meta-Analysis (2003) · cites this paper as Mercer & Miller, 1992
In the citing paper
“The domain of basic math skills is large and plays an important role in the development of students' later math skills (Mercer & Miller, 1992; Van Luit & Naglieri, 1999).”
From Mathematics Interventions for Children with Special Educational Needs: A Meta-Analysis (2003) · cites this paper as Mercer & Miller, 1992
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Mathematics Interventions for Children with Special Educational Needs: A Meta-Analysis
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Witzel, B. S., Mercer, C. D., & Miller, M. D. (2003) · Learning Disabilities Research and Practice · doi:10.1111/1540-5826.00068 · Cited by 250
Self-citationFraction Instruction for Students with Mathematics Disabilities: Comparing Two Teaching Sequences
Butler, F. M., Miller, S. P., Crehan, K. D., Babbitt, B. C., & Pierce, T. B. (2003) · Learning Disabilities Research and Practice · doi:10.1111/1540-5826.00066 · Cited by 223
Self-citationCalhoon, M. B., & Fuchs, L. S. (2003) · Remedial and Special Education · doi:10.1177/07419325030240040601 · Cited by 191
Metadata
- Authors
- Mercer, C. D., & Miller, S. P.
- Affiliations
- University of Florida (US)
- University of Nevada, Las Vegas (US)
- Venue
- Remedial and Special Education
- Publisher
- SAGE Publications
- Published
- 1992-05
- Volume
- 13
- Issue
- 3
- Pages
- 19-35
- ISSN
- 0741-9325 (ISSN-L)
- 1538-4756
- OpenAlex
- W2169614878
- Cited by
- 176
- References
- 75
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 6 · 2023: 3 · 2022: 9 · 2021: 1 · 2020: 13 · 2019: 8 · 2018: 5 · 2017: 7 · 2016: 5 · 2015: 6 · 2014: 9 · 2013: 7 · 2012: 8
- FWCI
- 4.01
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Remedial and Special Education (publishedVersion)
- Topics
- Social Sciences › Psychology › Developmental and Educational Psychology › Cognitive and developmental aspects of mathematical skills
- Social Sciences › Education › Mathematics Education and Pedagogy
- Social Sciences › Psychology › Developmental and Educational Psychology › Behavioral and Psychological Studies
- Keywords
- learning disabilities, emotional disabilities, at-risk students, research-based teaching, computational skills, word problem solving, mnemonic strategies, computational speed, skill generalization
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